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Finding the Fourth Proportional to 1,203.09, 1,804.81 and 381.43

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Solution

The fourth proportional to 1,203.09, 1,804.81 and 381.43 is: 572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.09 : 1,804.81 = 381.43 : x
  2. Step 2: Convert to fraction form
    1,203.09/1,804.81 = 381.43/x
  3. Step 3: Cross multiply
    1,203.09x = 1,804.81 × 381.43
  4. Step 4: Simplify right side
    1,203.09x = 688,414.70
  5. Step 5: Solve for x
    x = 688,414.70/1,203.09
  6. Step 6: Final answer
    x = 572.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.